Geometry Tessellations

what is a tessellation in math

• A tessellation is the tiling of a plane using one or more geometric shapes such that there are no overlaps or gaps. In other words, a tessellation is a never-ending​

• a triangle

• a mouse

• a circle

What is a Tessellation ?​

• no overlaps and no gaps.

• A tiling or tessellation of a flat surface is the covering of a plane using one or more geometric shapes​

• a tessellation or tiling is a cover of the Euclidean plane by a countable number of closed sets

• tessellations can be generalized to higher dimensions and a variety of geometries.

What are the 3 types of tessellations?

• Regular Tessellations. Regular tessellations are tile patterns made up of only one single shape placed in some kind of pattern.

• Semi-Regular Tessellations. When two or three types of polygons share a common vertex, a semi-regular tessellation is forms.

• Demi-Regular Tessellations. There are 20 different types of demi-regular tessellations; these are tessellations that combine two or three polygon arrangements.

• all of these

Non-polygonal figures can also make tessellations.

• Yes, they can.

• No, they can't.

In order for a tessellation to be considered a tessellation the pieces must not leave ...... and not ....... (Check all that apply)

• gaps

• touch

• pattern

• overlap

A tessellation is...

• a repeating pattern 

• a repeating pattern with no overlaps

• a repeating pattern with no gaps or overlaps

• a repeating pattern with no gaps

A TESSELLATION is a pattern of repeated shapes that covers the page with...

• NO gaps and NO overlaps

• SOME gaps and SOME overlaps

• LOTS of gaps and LOTS of overlaps